The solutions of the system of equations x/a + y/b = 2, ax − by = a² − b² are
A
x = a, y = b
B
x = −a, y = −b
C
x = a, y = −b
D
x = −a, y = b
Correct Option:
A
Explanation
Substitute x = a and y = b. The first equation becomes a/a + b/b = 1 + 1 = 2. The second becomes a·a − b·b = a² − b², which is exactly the right-hand side. Therefore x = a, y = b satisfies both equations.
